Problem: Igor the analyst has adopted n little bunnies. As we all know, bunnies love carrots. Thus, Igor has bought a carrot to be shared between his bunnies. Igor wants to treat all the bunnies equally, and thus he wants to cut the carrot into n pieces of equal area. 

Formally, the carrot can be viewed as an isosceles triangle with base length equal to 1 and height equal to h. Igor wants to make n - 1 cuts parallel to the base to cut the carrot into n pieces. He wants to make sure that all n pieces have the same area. Can you help Igor determine where to cut the carrot so that each piece have equal area?

<image> Illustration to the first example.

Input

The first and only line of input contains two space-separated integers, n and h (2 ≤ n ≤ 1000, 1 ≤ h ≤ 105).

Output

The output should contain n - 1 real numbers x1, x2, ..., xn - 1. The number xi denotes that the i-th cut must be made xi units away from the apex of the carrot. In addition, 0 < x1 < x2 < ... < xn - 1 < h must hold. 

Your output will be considered correct if absolute or relative error of every number in your output doesn't exceed 10 - 6.

Formally, let your answer be a, and the jury's answer be b. Your answer is considered correct if <image>.

Examples

Input

3 2


Output

1.154700538379 1.632993161855


Input

2 100000


Output

70710.678118654752

Note

Definition of isosceles triangle: <https://en.wikipedia.org/wiki/Isosceles_triangle>.

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.util.StringTokenizer;


/**
 *
 * @author Harsh Vardhan Kumar
 */
public class newMain1 {
    public static boolean eof = false ;
    public static void main(String[] args) {
        Reader in = new Reader(new BufferedReader(new InputStreamReader(System.in)));
        PrintWriter out = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)), true) ;
        
        int n = in.nextInt() ;
        double h = in.nextInt() ;
        
        for(int i = 1 ; i<n ; i++) {
            out.println(Math.sqrt((i*h*h)/(n)));
        }
    }
    static class Reader {
        private static BufferedReader b ;
        public static String line ;
        public Reader() {
        }

        public Reader(BufferedReader b) {
            this.b = b ;
        }
        private static StringTokenizer st = null;
        public static String next()  {
            
            if(st==null || !st.hasMoreElements()) {
                try { 
                    line = b.readLine() ;
                    if(line==null) {
                        eof = true ; 
                        return null ;
                    }
                    else {
                        st=new StringTokenizer(line);
                    }
                } catch (IOException ex) {
                    
                }
            }
            return st.nextToken() ;
        }
        public static String nextLine()  {
            try {
                return b.readLine() ;
            } catch (IOException ex) {
                
            }
            return line ;
        }
        public static int nextInt()  {
            return Integer.parseInt(next());
        }
        public static long nextLong()  {
            return Long.parseLong(next());
        }
        public static float nextFloat()  {
            return Float.parseFloat(next());
        }
        public void close() throws IOException {
            b.close() ;
        }
        
    }
    
}